Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
29401	Solve by Graphing	sin(x-9)^2cos(x)+9=0	$\sin^{2} (x - 9) \cos (x) + 9 = 0$
29402	Solve by Graphing	sin(4x)^3=1	$\sin^{3} (4 x) = 1$
29403	Solve by Graphing	(tan(x))/(sec(x))=sin(x)	$\frac{\tan (x)}{\sec (x)} = \sin (x)$
29404	Solve by Graphing	tan(x)=- square root of sec(x)^2-1	$\tan (x) = - \sqrt{\sec^{2} (x)} - 1$
29405	Solve by Graphing	(tan(a))/(sec(a))=sin(a)	$\frac{\tan (a)}{\sec (a)} = \sin (a)$
29406	Solve by Graphing	(tan(u-1))/(tan(u+1))=(1-cot(u))/(1+cot(u))	$\frac{\tan (u - 1)}{\tan (u + 1)} = \frac{1 - \cot (u)}{1 + \cot (u)}$
29407	Solve by Graphing	(tan(x)-1)/(tan(x)+1)=(1-cot(x))/(1+cot(x))	$\frac{\tan (x) - 1}{\tan (x) + 1} = \frac{1 - \cot (x)}{1 + \cot (x)}$
29408	Solve by Graphing	(tan(x)+1)/(cot(x)+1)=(sin(x))/(cos(x))	$\frac{\tan (y) + 1}{\cot (y) + 1} = \frac{\sin (y)}{\cos (y)}$
29409	Solve by Graphing	tan(x)^2=-3/2*sec(x)	$\tan^{2} (x) = - \frac{3}{2} \cdot \sec (x)$
29410	Solve by Graphing	tan(3x)^2-2sin(3x)^2=0	$\tan^{2} (3 x) - 2 \sin^{2} (3 x) = 0$
29411	Solve by Graphing	tan(x)^2+4tan(x)=-2	$\tan^{2} (x) + 4 \tan (x) = - 2$
29412	Solve by Graphing	tan(x)^2-3tan(x)-2=0	$\tan^{2} (x) - 3 \tan (x) - 2 = 0$
29413	Solve by Graphing	square root of 1-cos(x)^2=sin(x)	$\sqrt{1 - \cos^{2} (x)} = \sin (x)$
29414	Solve by Graphing	square root of 1-sin(x)^2=cos(x)	$\sqrt{1 - \sin^{2} (x)} = \cos (x)$
29415	Solve by Graphing	square root of 2sin(x)^2-sin(x)=0	$\sqrt{2} \sin^{2} (x) - \sin (x) = 0$
29416	Solve by Graphing	square root of 2cos(2x)+1=0	$\sqrt{2} \cos (2 x) + 1 = 0$
29417	Solve by Graphing	square root of 2cos(3x-1)=0	$\sqrt{2} \cos (3 x - 1) = 0$
29418	Solve by Graphing	square root of 2cos(x)+1=0	$\sqrt{2} \cos (x) + 1 = 0$
29419	Solve by Graphing	- square root of 2sec(x)=2	$- \sqrt{2} \sec (x) = 2$
29420	Solve by Graphing	6^(x+1)=36	$6^{x + 1} = 36$
29421	Solve by Graphing	cos(a)^2tan(a)^2+sin(a)^2cot(a)^2=1	$\cos^{2} (a) \cdot \tan^{2} (a) + \sin^{2} (a) \cdot \cot^{2} (a) = 1$
29422	Solve by Graphing	log base x of 1/81=-4	$\log_{x} (\frac{1}{81}) = - 4$
29423	Solve by Graphing	log base x of 36=2	$\log_{x} (36) = 2$
29424	Solve by Graphing	log base x of 8=0.5	$\log_{x} (8) = 0.5$
29425	Solve by Graphing	r^2=-4^2-4^2	$r^{2} = - 4^{2} - 4^{2}$
29426	Solve by Graphing	r^2=9cos(2)^2	$r^{2} = 9 \cos^{2} (2)$
29427	Solve by Graphing	s^2-6s+5=0	$s^{2} - 6 s + 5 = 0$
29428	Solve by Graphing	(-sec(x))/(1-cos(x))=(-1-sec(x))/(sin(x)^2)	$\frac{- \sec (x)}{1 - \cos (x)} = \frac{- 1 - \sec (x)}{\sin^{2} (x)}$
29429	Solve by Graphing	cos(x)^2(sec(x)^2-1)=sin(x)^2	$\cos^{2} (x) (\sec^{2} (x) - 1) = \sin^{2} (x)$
29430	Solve by Graphing	cos(x)^2(1+tan(x)^2)=1	$\cos^{2} (x) (1 + \tan^{2} (x)) = 1$
29431	Solve by Graphing	cos(x)^2=4/9	$\cos^{2} (x) = \frac{4}{9}$
29432	Solve by Graphing	cos(x)^2=sin(x)^2+1	$\cos^{2} (x) = \sin^{2} (x) + 1$
29433	Determine if True	-(9pi)/2+10pi=pi	$- \frac{9 π}{2} + 10 π = π$
29434	Determine if True	(cos(72)-cos(32))/(sin(72)-sin(32))=(-2sin(52)sin(22))/(2sin(52)cos(22))	$\frac{\cos (7 \cdot 2) - \cos (3 \cdot 2)}{\sin (7 \cdot 2) - \sin (3 \cdot 2)} = \frac{- 2 \sin (5 \cdot 2) \cdot \sin (2 \cdot 2)}{2 \sin (5 \cdot 2) \cdot \cos (2 \cdot 2)}$
29435	Determine if True	(cos(i))/(1+sin(i))+(1+sin(i))/(cos(i))=2sec(i)	$\frac{\cos (i)}{1 + \sin (i)} + \frac{1 + \sin (i)}{\cos (i)} = 2 \sec (i)$
29436	Determine if True	log base 16 of 1=0	$\log_{16} (1) = 0$
29437	Determine if True	log base 2 of 512=9	$\log_{2} (512) = 9$
29438	Solve by Graphing	sec(x)^2(1+sin(2x))=(1tan(x))^2	$\sec^{2} (x) (1 + \sin (2 x)) = {(1 \tan (x))}^{2}$
29439	Solve by Graphing	sec(x)^2csc(x)^2=sec(x)^2+csc(x)^2	$\sec^{2} (x) \csc^{2} (x) = \sec^{2} (x) + \csc^{2} (x)$
29440	Solve by Graphing	sec(x)^2+6tan(x)-8=0	$\sec^{2} (x) + 6 \tan (x) - 8 = 0$
29441	Solve by Graphing	(sin(x))/(cos(x)^2)=sec(x)tan(x)	$\frac{\sin (x)}{\cos^{2} (x)} = \sec (x) \tan (x)$
29442	Solve by Graphing	(sin(x))/(1+cos(x))=(1-cos(x))/(sin(x))	$\frac{\sin (x)}{1 + \cos (x)} = \frac{1 - \cos (x)}{\sin (x)}$
29443	Solve by Graphing	(sin(x)-cos(x))/(cos(x))+(sin(x)+cos(x))/(sin(x))=csc(x)sec(x)	$\frac{\sin (x) - \cos (x)}{\cos (x)} + \frac{\sin (x) + \cos (x)}{\sin (x)} = \csc (x) \sec (x)$
29444	Solve by Graphing	(sin(100))/22=(sin(45))/x	$\frac{\sin (100)}{22} = \frac{\sin (45)}{x}$
29445	Solve by Graphing	(sin(2x))/(cos(x))=2sin(x)	$\frac{\sin (2 x)}{\cos (x)} = 2 \sin (x)$
29446	Solve by Graphing	(sin(30))/10=(sin(40))/x	$\frac{\sin (30)}{10} = \frac{\sin (40)}{x}$
29447	Solve by Graphing	(sin(32))/17=(sin(x))/11	$\frac{\sin (32)}{17} = \frac{\sin (x)}{11}$
29448	Solve by Graphing	(sin(33))/a=(sin(117))/11	$\frac{\sin (33)}{a} = \frac{\sin (117)}{11}$
29449	Solve by Graphing	(sin(4x))/(1+cos(4x))=cos(2x)	$\frac{\sin (4 x)}{1 + \cos (4 x)} = \cos (2 x)$
29450	Solve by Graphing	(sin(52))/28=(sin(79))/w	$\frac{\sin (52)}{28} = \frac{\sin (79)}{w}$
29451	Solve by Graphing	(sin(85))/4.5=(sin(C))/3	$\frac{\sin (85)}{4.5} = \frac{\sin (C)}{3}$
29452	Solve by Graphing	(sin(b))/10=(sin(35))/5.1	$\frac{\sin (b)}{10} = \frac{\sin (35)}{5.1}$
29453	Solve by Graphing	(sin(c))/(sin(119.7))=(sin(30.2))/(sin(3.3))	$\frac{\sin (c)}{\sin (119.7)} = \frac{\sin (30.2)}{\sin (3.3)}$
29454	Solve by Graphing	arcsin(sin(x))=0	$\arcsin (\sin (x)) = 0$
29455	Solve by Graphing	sin(x)^2(1+cot(x)^2)=1	$\sin^{2} (x) (1 + \cot^{2} (x)) = 1$
29456	Solve by Graphing	-sin(x)^2+cos(x)^2=-sin(x+1)	$- \sin^{2} (x) + \cos^{2} (x) = - \sin (x + 1)$
29457	Solve by Graphing	sin(x)^2=6(cos(-x)+1)	$\sin^{2} (x) = 6 (\cos (- x) + 1)$
29458	Solve by Graphing	sin(x)^2=-cos(2x)	$\sin^{2} (x) = - \cos (2 x)$
29459	Solve by Graphing	sin(x)^2-4(cos(-x)-1)=0	$\sin^{2} (x) - 4 (\cos (- x) - 1) = 0$
29460	Solve by Graphing	sin(x)^2-sin(x)-12=0	$\sin^{2} (x) - \sin (x) - 12 = 0$
29461	Solve by Graphing	sin(2x)^2=1	$\sin^{2} (2 x) = 1$
29462	Solve by Graphing	sin(b)^2cos(b)^2=(sin(b))/(sec(b)^2+csc(b)^2)	$\sin^{2} (b) \cos^{2} (b) = \frac{\sin (b)}{\sec^{2} (b) + \csc^{2} (b)}$
29463	Solve by Graphing	cos(x)^2+4cos(x)=(-3)	$\cos^{2} (x) + 4 \cos (x) = (- 3)$
29464	Solve by Graphing	cos(x)^2=1-sin(x)	$\cos^{2} (x) = 1 - \sin (x)$
29465	Solve by Graphing	cos(x)^2-cos(2x)=0.75	$\cos^{2} (x) - \cos (2 x) = 0.75$
29466	Solve by Graphing	cos(x)^2cos(x)-2=0	$\cos^{2} (x) \cos (x) - 2 = 0$
29467	Solve by Graphing	cos(x)^2sin(x)=sin(x)	$\cos^{2} (x) \sin (x) = \sin (x)$
29468	Solve by Graphing	cos(t)^3-cos(t)=0	$\cos^{3} (t) - \cos (t) = 0$
29469	Solve by Graphing	cos(x)^4-sin(x)^4=cos(2x)	$\cos^{4} (x) - \sin^{4} (x) = \cos (2 x)$
29470	Solve by Graphing	(cot(x))/(csc(x))=cos(x)	$\frac{\cot (x)}{\csc (x)} = \cos (x)$
29471	Solve by Graphing	cot(x)^2-3=0	$\cot^{2} (x) - 3 = 0$
29472	Solve by Graphing	cot(x)^3=3cot(x)	$\cot^{3} (x) = 3 \cot (x)$
29473	Solve by Graphing	(csc(t+1))/(cot(t))=(cot(t))/(csc(t-1))	$\frac{\csc (t + 1)}{\cot (t)} = \frac{\cot (t)}{\csc (t - 1)}$
29474	Solve by Graphing	(csc(x))/(cot(x))-(cot(x))/(csc(x))=(tan(x))/(csc(x))	$\frac{\csc (x)}{\cot (x)} - \frac{\cot (x)}{\csc (x)} = \frac{\tan (x)}{\csc (x)}$
29475	Solve by Graphing	csc(x)^2-2cot(x)=0	$\csc^{2} (x) - 2 \cot (x) = 0$
29476	Solve by Graphing	( natural log of x^2-8x)/( natural log of 27)=2/3	$\frac{\ln (x^{2} - 8 x)}{\ln (27)} = \frac{2}{3}$
29477	Solve by Graphing	log base 125 of 25=x	$\log_{125} (25) = x$
29478	Solve by Graphing	log base 2 of x-3=5	$\log_{2} (x - 3) = 5$
29479	Solve by Graphing	log base 4 of 16=x	$\log_{4} (16) = x$
29480	Solve by Graphing	log base 6 of 5-3x = log base 6 of x^2-5	$\log_{6} (5 - 3 x) = \log_{6} (x^{2} - 5)$
29481	Solve by Graphing	log base 6 of n- log base 6 of 3=2	$\log_{6} (n) - \log_{6} (3) = 2$
29482	Solve by Graphing	log base 7 of b=12	$\log_{7} (b) = 12$
29483	Solve by Graphing	log base 7 of x+3- log base 7 of x-2 = log base 7 of 2x+14	$\log_{7} (x + 3) - \log_{7} (x - 2) = \log_{7} (2 x + 14)$
29484	Solve by Graphing	log base b of 11=3	$\log_{b} (11) = 3$
29485	Solve by Graphing	7^(0.9x)=932	$7^{0.9 x} = 932$
29486	Solve by Graphing	7^(2x)=75	$7^{2 x} = 75$
29487	Solve by Graphing	(7-7tan(x)^4)/(sec(x)^2)=7(1-tan(x)^2)	$\frac{7 - 7 \tan^{4} (x)}{\sec^{2} (x)} = 7 (1 - \tan^{2} (x))$
29488	Solve by Graphing	9^x=1/9	$9^{x} = \frac{1}{9}$
29489	Solve by Graphing	(9x-1)/10-5x=1/5+(8x+5)/15	$\frac{9 x - 1}{10} - 5 x = \frac{1}{5} + \frac{8 x + 5}{15}$
29490	Solve by Graphing	a^2+4(a)^2=7^2	$a^{2} + 4 {(a)}^{2} = 7^{2}$
29491	Solve by Graphing	b^2=13.7^2+20.1-2*13.7(20.1cos(66.5))	$b^{2} = {13.7}^{2} + 20.1 - 2 \cdot 13.7 (20.1 \cos (66.5))$
29492	Solve by Graphing	c^2=89-80cos(60)	$c^{2} = 89 - 80 \cos (60)$
29493	Solve by Graphing	(cos(x))/(sec(x)sin(x))=csc(x)-sin(x)	$\frac{\cos (x)}{\sec (x) \sin (x)} = \csc (x) - \sin (x)$
29494	Solve by Graphing	(cos(7x)+cos(5x))/(sin(7x)-sin(5x))=cot(x)	$\frac{\cos (7 x) + \cos (5 x)}{\sin (7 x) - \sin (5 x)} = \cot (x)$
29495	Solve by Graphing	(cos(a))/(1+tan(a))+(sin(a))/(1+cot(a))=(sin(a)+cos(a))(1-sin(a)cos(a))	$\frac{\cos (a)}{1 + \tan (a)} + \frac{\sin (a)}{1 + \cot (a)} = (\sin (a) + \cos (a)) \cdot (1 - \sin (a) \cdot \cos (a))$
29496	Solve by Graphing	(cos(x))/(sin(x)sec(x))=csc(x)-sin(x)	$\frac{\cos (x)}{\sin (x) \sec (x)} = \csc (x) - \sin (x)$
29497	Solve by Graphing	1/(1+cot(x))=(tan(x))/(1+tan(x))	$\frac{1}{1 + \cot (x)} = \frac{\tan (x)}{1 + \tan (x)}$
29498	Solve by Graphing	1/2- log base 16 of x-3 = log base 16 of x	$\frac{1}{2} - \log_{16} (x - 3) = \log_{16} (x)$
29499	Solve by Graphing	1/2*sec(x)-1=0	$\frac{1}{2} \cdot \sec (x) - 1 = 0$
29500	Solve by Graphing	-1/2x=-9/10	$- \frac{1}{2} x = - \frac{9}{10}$